reserve e,u for set;
reserve X, Y for non empty TopSpace;

theorem Th26:
  for A being Subset of X st A in TrivDecomp X ex x being Point of X st A = {x}
proof
  let A be Subset of X;
  assume A in TrivDecomp X;
  then consider x being object such that
A1: x in the carrier of X and
A2: A = Class(id the carrier of X,x) by EQREL_1:def 3;
  reconsider x as Point of X by A1;
  take x;
  thus thesis by A2,EQREL_1:25;
end;
